Answer:
B
Step-by-step explanation:
.45y+.3(0) = 3.6
y=8
8 does not equal 12
y = x² is the parent function of a parabola opens up and has a vertex at (negative 1, negative 2)
<h3>What is the standard equation of a parabola ?</h3>
The standard equation of a parabola is given by
y =a(x-h)² +k
Vertex at h , k
It is given that It has to be chosen from the options that whose parent function is
y = x²
As the plot of the first option is done , which is shown in the figure ,
The parabola is given by
y = (x +1)² +2
and the parent function is y = x²
Therefore the Option 1 is the answer.
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3 sin ( 2 x ) = 3 cos x
3 · 2 sin x cos x - 3 cos x = 0
6 sin x cos x - 3 cos x = 0 /: 3
2 sin x cos x - cos x = 0
cos x ( 2 sin x - 1 )
cos x = 0,
x 1 = π/2, x 2 = 3π/2;
2 sin x - 1 = 0
2 sin x = 1
sin x = 1/2
x 3 = π/6, x 4 = 5π/6.
Answer:
Step-by-step explanation:
Angle 1 is equal to angle 3 because they are opposite each other so
Angle 1=43 degrees
Angle 1 and angle 2 have a sum of 180 degrees because they are adjacent to each other.
angle 2=180-43=137 degrees.
angle 2 and 4 are opposite each other so they are equal
angle 4=137 degrees.
Well, this can be interpreted as 1/10 ÷ 6/19
Whenever you are dividing fractions, you have to change the division sign to a multiplication sign and turn the fraction on the right upside down. By this, i mean;
1/10 × 19/6
That will be;
1x19/10x6
19/60. So your answer is 19/60. And it is already in it's simplest form because nothing else can divide the two numbers. Hope i helped. Have a nice day. If you have any more problems on this, let me know and i will be glad to help.